Zobrazeno 1 - 10
of 20
pro vyhledávání: '"31C25, 47D07"'
Autor:
Kassmann, Moritz, Weidner, Marvin
In his celebrated article, Aronson established Gaussian bounds for the fundamental solution to the Cauchy problem governed by a second order divergence form operator with uniformly elliptic coefficients. We extend Aronson's proof of upper heat kernel
Externí odkaz:
http://arxiv.org/abs/2111.06744
Autor:
Liu, Guanhua, Murugan, Mathav
Given a symmetric diffusion process and a jump process on the same underlying space, is there a subordinator such that the jump process and the subordinated diffusion processes are comparable? We address this question when the diffusion satisfies a s
Externí odkaz:
http://arxiv.org/abs/2109.10482
Autor:
Robinson, Derek W.
Let $\Omega$ be a domain in $R^d$ and $d_\Gamma$ the Euclidean distance to the boundary $\Gamma$. We investigate whether the weighted Hardy inequality \[ \|d_\Gamma^{\delta/2-1}\varphi\|_2\leq a_\delta\,\|d_\Gamma^{\delta/2}\,(\nabla\varphi)\|_2 \] i
Externí odkaz:
http://arxiv.org/abs/2103.07848
Autor:
Robinson, Derek W.
Let $\Omega$ be a domain in $\Ri^d$ with boundary $\Gamma$${\!,}$ $d_\Gamma$ the Euclidean distance to the boundary and $H=-\divv(C\,\nabla)$ an elliptic operator with $C=(\,c_{kl}\,)>0$ where $c_{kl}=c_{lk}$ are real, bounded, Lipschitz functions. W
Externí odkaz:
http://arxiv.org/abs/2006.13403
Autor:
Robinson, Derek W.
Publikováno v:
J. Aust. Math. Soc. 108 (2020) 98-119
We establish existence of weighted Hardy and Rellich inequalities on the spaces $L_p(\Omega)$ where $\Omega= \Ri^d\backslash K$ with $K$ a closed convex subset of $\Ri^d$. Let $\Gamma=\partial\Omega$ denote the boundary of $\Omega$ and $d_\Gamma$ the
Externí odkaz:
http://arxiv.org/abs/1704.03625
Autor:
Robinson, Derek W.
First the Hardy and Rellich inequalities are defined for the submarkovian operator associated with a local Dirichlet form. Secondly, two general conditions are derived which are sufficient to deduce the Rellich inequality from the Hardy inequality. I
Externí odkaz:
http://arxiv.org/abs/1701.05629
Autor:
Gim, Minjung, Trutnau, Gerald
We develop sufficient analytic conditions for conservativeness of non-sectorial perturbations of symmetric Dirichlet forms which can be represented through a carr\'e du champ on a locally compact separable metric space. These form an important subcla
Externí odkaz:
http://arxiv.org/abs/1605.04846
Autor:
Robinson, Derek W.
Let $\ce$ be a Dirichlet form on $L_2(X\,;\mu)$ where $(X,\mu)$ is locally compact $\sigma$-compact measure space. Assume $\ce$ is inner regular, i.e.\ regular in restriction to functions of compact support, and local in the sense that $\ce(\varphi,\
Externí odkaz:
http://arxiv.org/abs/1602.01167
Autor:
Gim, Minjung, Trutnau, Gerald
We develop sufficient analytic conditions for recurrence and transience of non-sectorial perturbations of possibly non-symmetric Dirichlet forms on a general state space. These form an important subclass of generalized Dirichlet forms which were intr
Externí odkaz:
http://arxiv.org/abs/1508.02282
Autor:
Akhlil, Khalid
In this work we propose to study the general Robin boundary value problem involving signed smooth measures on an arbitrary domain $\Omega$ of $\mathbb R^d$. A Kato class of measures is defined to insure the closability of the associated form $(\mem,\
Externí odkaz:
http://arxiv.org/abs/1303.5572